What 2 square numbers subtract to make 1687?

What two square numbers subtract to make 1687? In other words, when you subtract one square number from another square number, the answer is 1687. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 1687

We solved the equation above and found this to be true:

124² - 117² = 1687

124² is 15376 and 117² is 13689, therefore the answer to the question "What 2 square numbers subtract to make 1687?" is 15376 and 13689 as illustrated below:

15376 - 13689 = 1687

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 1687. Below we list alternate solutions if available.

712336 - 710649 = 1687

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